Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
The decimals ordered from least to greatest are as followed:
Least: 2.009
2.09
2.19
2.9
Greatest: 2.901
I hope I have helped in some way, shape or form!
Answer:
0
Step-by-step explanation:
Assuming the problem is:
"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"
lim x->4 (fg)(x)
Since we know the limits of f and g at x=4 exist we can write the limit as:
lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)
5(0)
0
The answer is 23.5 ...probably
Answer:
<1= 135 degrees
<4= 135 degrees
<6= 45 degrees
Step-by-step explanation:
This is because angle two and 6 are corresponding angles. you would then subtract 180 from 45 because angle 6 and 4 are consecutive angles. This would give you 135 degrees. Then angle 1 and angle 4 are verticla agles, making them equal to each other.
